0=t^2-4t+6

Solution for 0=t^2-4t+6 equation:

Simplifying
0 = t2 + -4t + 6

Reorder the terms:
0 = 6 + -4t + t2

Solving
0 = 6 + -4t + t2

Solving for variable 't'.

Combine like terms: 0 + -6 = -6
-6 + 4t + -1t2 = 6 + -4t + t2 + -6 + 4t + -1t2

Reorder the terms:
-6 + 4t + -1t2 = 6 + -6 + -4t + 4t + t2 + -1t2

Combine like terms: 6 + -6 = 0
-6 + 4t + -1t2 = 0 + -4t + 4t + t2 + -1t2
-6 + 4t + -1t2 = -4t + 4t + t2 + -1t2

Combine like terms: -4t + 4t = 0
-6 + 4t + -1t2 = 0 + t2 + -1t2
-6 + 4t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-6 + 4t + -1t2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
6 + -4t + t2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4t + -6 + t2 = 0 + -6

Reorder the terms:
6 + -6 + -4t + t2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4t + t2 = 0 + -6
-4t + t2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4t + t2 = -6

The t term is -4t.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4t + 4 + t2 = -6 + 4

Reorder the terms:
4 + -4t + t2 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + -4t + t2 = -2

Factor a perfect square on the left side:
(t + -2)(t + -2) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.